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Finding the Third Proportional to 38,265.75 and 81,087.75

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Solution

The third proportional to 38,265.75 and 81,087.75 is: 171,830.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,265.75 : 81,087.75 = 81,087.75 : x
  2. Step 2: Convert to fraction form
    38,265.75/81,087.75 = 81,087.75/x
  3. Step 3: Cross multiply
    38,265.75x = 81,087.75 × 81,087.75
  4. Step 4: Simplify right side
    38,265.75x = 6,575,223,200.06
  5. Step 5: Solve for x
    x = 6,575,223,200.06/38,265.75
  6. Step 6: Final answer
    x = 171,830.51

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.